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Question

A car travels with speed 30kmh1 for 30 minute and then with speed 40kmh1 for one hour. Find :​
(a)the total distance travelled by the car​
(b)the total time of travel, and​
(c)the average speed of car.​

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Solution

Given, Time travelled (t1)=0.5h
Speed during 0.5h,(s1)=30kmh1
Time travelled (t2)=1.0h
Speed during 1h,(s2)=30kmh1
To find, Total distance travelled (d1)
Total time taken (t) ​
Average speed ​

(a) Total distance travelled(d)
=Distance travelled in 30min.(d1)+ Distance travelled in next1hour(d2)
d=(s1×t1)+(s2×t2)
d=(30kmh1×0.5h)+(40kmh1×1h)
d=15km+40km
d=55km

(b)Total time (t)=t1+t2
=0.5h+1.0h

The total time of journey is 1.5h. ​

(c) Average speed =Total distance covered Total time taken
=55km1.5hr
The average speed during journey is ​ 36.67kmh1.​

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