Question

The distance between two places A and B on the road is 70 kilometres. A car starts from A

and the other from B. If they travel in the same direction, they will meet after 7 hours. If they

travel towards each other they will meet after 1 hour, then find their speeds.​

Answer 1

Answer:

Let the speed of the car starting from A (first car) be ‘x’ km/hr and that starting from B (second car) be ‘y’ km/hr. (x > y) According to the first condition, Distance covered by the first car in 7 hours = 7x km Distance covered by the second car in 7 hours = 7y km If the cars are travelling in the same direction, 7x – 7y = 70 Dividing both sides by 7, x – y = 10 …(i) According to the second condition, Distance covered by the first car in 1 hour = x km Distance covered by the second car in 1 hour = y km If the cars are travelling in the opposite direction x + y = 70 …(ii) Adding equations (i) and (ii), ∴ x = 40 Substituting x = 40 in equation (ii), x + y = 70 ∴ 40 + y = 70 ∴ y = 70 – 40 = 30 ∴ The speed of the cars starting from places A and B are 40 km/hr and 30 kmhr respectively

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