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A tractor is going at a speed of 36 km/h and a Jeep with a speed of 54 km/h overtakes the tractor which was 240 meters ahead of the Jeep. Now find the distance between the tractor and the jeep after 52 seconds.

A tractor is going at a speed of 36 km/h and a Jeep with a speed of 54 km/h overtakes the tractor which was 240 meters ahead of the Jeep. Now find the distance between the tractor and the jeep after 52 seconds. Correct Answer 20 m.

Given:

Jeep’s speed (S1) = 54 km/hr

Tractor’s speed(S2) = 36 km/hr

Distance between Jeep and tractor = 240 m.

Concept used:

Relative speed is the difference between the motions of two objects when two objects move in the same direction.

Formula used:

Speed = Distance/Time

Calculations:

The speed of Jeep = 54 km/hr

Now the speed of Jeep in m/s= 54 × (5/18) = 3 × 5 = 15 m/s

The speed of tractor = 36 km/hr

Now the speed of tractor in m/s = 36 × (5/18) = 2 × 5 = 10 m/s

Then relative speed of Jeep and tractor

⇒ (The speed of Jeep –The speed of tractor)

⇒ 15 – 10 = 5 m/s

Now the distance between Jeep and tractor = 240 m.

Then time is taken by Jeep to overtake the tractor

⇒ 240/5 = 48 sec

Distance covered by Jeep and tractor in (52 – 48) = 4 sec

Distance covered by Jeep in 4 sec

⇒ 15 × 4 = 60 m.

Distance covered by the tractor in 4 sec

⇒ 10 × 4 = 40 m

Now the distance between the Jeep and tractor = 60 – 40 = 20 m.

∴ the distance between the car and the bus after 52 seconds is 20 meters.

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