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ICSE Class 7 Answered

10. (i) train cover a dist~nce. of 670 km in 6 h 5 min. If it covers the first 390 km of the Journey at90 km/h, find Its speed for the rest of the journey.  (ii) A bus covers 630 km in 9 h. If it completes the first two thirds of the journey at 60 km/h.calculate its speed for the rest of the journey.  11.    A train travelling at 60 km/h completes a journey in 8 h. How much faster would it have to travel to cover the same distance in 6 h?  11.    A bus travelling at 42 km/h covers a distance in 5 h. How much time would it save if it increased its speed by 8 km/h?  11.    A girl walks 12 km at the speed of 3 km/h. What change should she make in her speed to take (i) an hour less and (ii) an hour more to cover the distance?  4.    A motorcyclist travels at 30 km/h and stops for half an hour at the end of every 75 km. How long will it take him to cover 375 km?  4.    A woman walks a certain distance in 84 min. She covers two thirds of it at 4 km/h and the rest at 5 km/h, Find the total distance she covered.  6.    A man walks at 6 km/h and runs at 8 km/h, He covers 6 km in 50 min partly by running and partly by walking.  (i) For how long did he walk? (It) What distance did he cover 'walking.   
Asked by rojesh.sahoo | 13 Feb, 2019, 08:06: PM
answered-by-expert Expert Answer
Ask only one question in one posting. Do not ask more than one question in one posting
 
Only first question is answered
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Total distance travelled by train = 670 km
Time taken to travel 670 km = 6 hr 5 min = begin mathsize 12px style 6 5 over 60 space h r space equals space 6 1 over 12 h r space equals space 73 over 12 space h r end style
If first 390 km is travelled by 90 km/hr speed,  then time taken = 390/90 = 13/3 hr.
 
Time left  to travel remaining distance 280 km = begin mathsize 12px style 73 over 12 space minus space 13 over 3 space equals space 73 over 12 minus space 52 over 12 space equals space 21 over 12 space space equals space 7 over 4 h r end style
required speed = begin mathsize 12px style fraction numerator 280 space space space over denominator begin display style bevelled 7 over 4 end style end fraction space space equals space 160 space k m divided by h r end style
Answered by Thiyagarajan K | 13 Feb, 2019, 10:05: PM
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