CBSE Class 10 Answered
Places A and B are 80km apart from each other on a highway. A car starts from A and other from B at the same time.if they move in same direction they meet in 8 hours & if they move towards each other they meet in 1hr. 20 minutes.Find the speed of the cars.
Asked by agraharianiruddha | 26 Dec, 2018, 06:45: PM
Expert Answer
Let u be the speed of car starting at A. Let v be the speed of car starting at B.
when both cars travel in opposite direction, the relative speed of each car with respect to other is u+v.
if time taken to meet each other, when both cars travel in opposite direction is 1 hr 20 min or 4/ 3 hour.
hence we write, 80/(u+v) = 4/3 or u+v = 60 ......................(1)
if both the car travel in same direction, they meet after 8 hours.
Distance travelled by car that has started from A , when this car meets the other one = 8u+80
Distance travelled by car that has started from B , when this car meets the other one = 8v
hence we write, 8u+80 = 8v or v-u = 10 .................(2)
By solving (1) and (2), we get v = 35 km/hr and u = 25 km/hr
Answered by Thiyagarajan K | 27 Dec, 2018, 01:46: PM
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