Time, Distance & Speed
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- Gervais Parrish
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1 CHAPTER 15 Time, Distne, Speed Exerise 1 Time, Distne & Speed 1. Find the unknown quntity in eh of the following : Distne =? km Speed = 20 km/hr Time : 3 hours. Distne = 90 miles Speed =? mph Time : 1 hours. Distne = 100 km Speed = 40 km/hr Time :? hours. d Speed = 24 m/se Time =? ses Distne = 288 m. 2. A tortoise wlks t 2 metres per minute. How long will it tke to wlk 9 metres? Addison runs t 4 metres per seond. How fr will he trvel in ten nd hlf seonds? A us journey, 60 kilometres long, tkes one nd hlf hours. How fst is the us trvelling? 3. A jet hs 200 mile journey to omplete. How long would it tke t speed of : 100 mph 400 mph 600 mph? 4. Jne rn round 1500 metre trk nd took 6 minutes. At wht speed in metres per minute ws Jne running? Bo et Jne s time y minute. Wht ws Bo s speed? 5. Ryn yled from home to shool (8 km) t speed of 16 km/hr. He hd to wlk home from shool due to punture. If Ryn wlked t speed of 6 km/hr, how muh quiker ws he yling thn wlking? TeeJy Pulishers 2012 Book 3 pge 58 Ch 15 Time
2 Exerise 2 Prolems involving hlf/qurter hours 1. Find the unknown quntity in eh of the following : Distne =? km Speed = 40 km/hr Time : hours. Distne = 900 miles Speed =? mph Time : hours. Distne = 210 km Speed = 60 km/hr Time :? hours. d Speed = 240 km/hr Time = 3 hrs 30 mins Distne =? e Speed = 100 m/min Time = mins Distne =? f Speed = 72 km/hr Distne = 18 km Time =? 2. A jogger took 1 hour nd 15 minutes to over km. Wht ws the verge speed in km/hr? A ot tkes 6 hours nd 45 minutes t n verge speed of 20 km/hr to trvel from Port A to Port B. Wht fr is it from Port A to Port B? 3. A trin leves Ayton t 1500 hours nd trvels to Beeton 75 km wy t 30 km/hr. The trin is due to rrive t Beeton t Will it rrive on time? Exerise 3 Converting hrs & mins to Deiml Times 1. Chnge the following to deimls of n hour : 45 minutes 24 minutes 36 minutes d 27 minutes. 2. Chnge the following to deimls of hour. Give your nswer to two deiml ples : 7 minutes 40 minutes 8 minutes d 124 minutes. 3. Chnge eh time to deiml form : 2 hrs 33 mins 1 hr 48 mins 5 hrs 6 mins d 3 hrs 3 mins. TeeJy Pulishers 2012 Book 3 pge 59 Ch 15 Time
3 4. Clulte the unknown quntity in eh of the following : Distne =? km Speed = 80 km/hr Time : 2 hrs 45 mins. Distne = 64 miles Speed =? mph Time : 1 hr 36 mins. Distne = 420 km Speed = 50 km/hr Time :? hrs? mins. 5. The distne etween two towns Hurley nd Burley is 48 kilometres. Gerry drives truk from Hurley to Burley t speed of 30 km/hr. On the return trip he inreses his speed y 6 km/hr. How muh fster, in minutes nd seonds, ws the return trip? Exerise 4 Converting Deiml Times to Hrs & Mins 1. Chnge the lultor displys (shown in hours) to hours nd minutes : Chnge eh of the following to hours nd minutes : 4 6 hours 8 15 hours 3 05 hours d hours. 3. Clulte the time tken in hours nd minutes for the following journeys : A rlly r trvelling 150 kilometres t 40 km/hr. A mrthon runner (26 miles) t speed of 12 mph. A speed ot t 40 km/hr trvelling 36 kilometres. 4. Chnge eh of the following speeds to km/hr : 20 m/se 250 m/se 10 5 m/se d 50 m/min. 5. In Mrthon re, Dle hd finishing time of 3 hours nd 25 mins. Alie hd finishing time of 3 4 hours. Un ompleted her re in hours. Between these three people, who me : (i) first (ii) lst? Wht ws the time differene etween : (i) first nd seond (ii) first nd lst? TeeJy Pulishers 2012 Book 3 pge 60 Ch 15 Time
4 Exerise 5 Time, Distne (& Speed) Grphs 1. The distne-time grph shows the journey Mggie mde from her house to her fvourite lothes shop nd home gin. How long did the drive to the shop tke? How fr wy is the shop from her house? How long did she sty t the shop? d Clulte Mggie s speed : (i) (ii) going to the shop. on the journey home. distne (km) Journey time 2. On Sturdy, Mr Jenkins nd Mrs Jenkins oth leve from home nd drive to Airdrie. Airdrie distne (km) Jk Jne Home 9 00 m m time m Noon At wht time did eh of the Jenkins leve their house? How fr wy is Airdrie from their house? Who rrived in Airdrie first nd y how mny minutes? d e Clulte the verge speed of oth. (Diffiult). Mr Jenkins left Airdrie t Noon nd drove home t 25 km/hr. Mrs Jenkins drove home t 30 km/hr. If they oth rrived home t the sme time, when must Mrs Jenkins hve left Airdrie (to the nerest minute)? TeeJy Pulishers 2012 Book 3 pge 61 Ch 15 Time
5 3. Billy set off t m on Sundy nd trvelled 50 miles to Edinurgh t n verge speed of 40 mph. He shopped for 45 minutes in Edinurgh, then drove home t n verge speed of 50 mph. Show Billy s journey on Distne - Time grph. 4. Aln left home t ten pst nine, driving t speed of 60 km/hr, ut found he hd punture fter just 20 km. It took him 40 minutes to get the punture repired nd he then drove stright k home t 50 km/hr. Show this journey on Distne - Time grph. Revisit - Review - Revise Exerise Choose the pproprite formul nd show ll working in eh of the following : Puline drove 300 kilometres t 60 km/hr. How long did she tke? Arnie flew t 120 mph for 4 hours. How fr hd Arnie flown? Kevin took 4 hours to yle 60 kilometres. How fst ws he yling? 2. Chnge eh of the following times to deimls : 48 mins 3 hrs 12 mins 1 hr 42 mins. 3. Chnge eh time to hours nd minutes : 2 25 hours 0 45 hours 5 05 hours. 4. Fred tkes three qurters of n hour to drive 42 km to work. Wht is Fred s verge speed? Jeri drives t 80 km/hr nd tkes 1 hour nd 12 minutes to get to work. How fr does Jeri drive to work? Terry the tortoise tkes 40 minutes to rwl 16 metres. Slly Slug slithers 900 entimetres in 30 minutes. How muh fster is Terry thn Slly? 5. Lst Sundy, Chelse left home t Noon nd yled 20 kilometres to her offie. She rrived t 1 20 pm nd spent 10 minutes olleting the ppers she hd forgotten. She then yled home nd rrived t 2.30 pm. Show ll the given informtion on distne-time grph. Clulte the speed of her journey : (i) to the offie (ii) home. TeeJy Pulishers 2012 Book 3 pge 62 Ch 15 Time
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