Question

Two cars A and B, which are 500 km apart, start
moving towards each other on a straight road at a
certain point of time. The speed of car A is 57 km/hr
and that of car B is 40 km/hr. After first hour car A
which is moving from west to east takes a left turn,
runs for 40 minutes and reaches point K whereas the
other car which was moving from east to west, keeps
running on the road till 1.5 hours and then takes a left
turn, runs for half an hour and reaches point L What
is the difference between the vertical and horizontal
distances between the two points K and L?​

Answer 1

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Answer 2

Given :- Two cars A and B, which are 500 km apart, start moving towards each other on a straight road at a certain point of time. The speed of car A is 57 km/hr and that of car B is 40 km/hr. After first hour car A which is moving from west to east takes a left turn, runs for 40 minutes and reaches point K whereas the other car which was moving from east to west, keeps running on the road till 1.5 hours and then takes a left turn, runs for half an hour and reaches point L .

To Find :- What is the difference between the vertical and horizontal distances between the two points K and L ?

Solution :-

→ Speed of car A = 57 km/h

and,

→ Car A travel straight for = 1 hour .

so,

→ Distance covered by car A = S * T = 57 * 1 = 57 km .

and,

→ Speed of car B = 40 km/h

and,

→ Car B travel straight for = 1.5 hour .

so,

→ Distance covered by car B = S * T = 40 * 1.5 = 60 km .

now,

→ Total distance between initial points = 500 km.

then,

→ Horizontal distance between both cars before turn = 500 - (57 + 60) = 500 - 117 = 383 km.

now, car A facing east turns left (North) and runs for 40 min and reach at point K .

so,

→ Distance covered by car A = S * T = 57 * (40/60) = 57 * (2/3) = 38 km .

and, car B facing west turns left (South) and runs for 30 min. and reach at point L .

so,

→ Distance covered by car B = S * T = 40 * (30/60) = 40 * (1/2) = 20 km .

then,

→ Vertical distance between points K and L = 38 + 20 = 58 km .

therefore,

→ The difference between the vertical and horizontal distances between the two points K and L = 383 - 58 = 325 km (Ans.)

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