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A car A is travelling on a straight level road with a uniform speed of 60km/h. It is followed by another car B which is moving with a speed of 70km/h. When the distance between them is 2.5 km, the car B is given a deceleration of 20km/h2 After how much time will B catch up with A

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a

1 hr

b

1/2 hr

c

1/4 hr

d

1/8 hr

answer is B.

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Detailed Solution

Let car B catches, car A after ‘t’ sec, then ut+separation distanceA=ut-12atB 60t+2.5=70t−12×20×t2 ⇒10t2−10t+2.5=0 ⇒t2−t+0.25=0 ∴t=1±1−4×(0.25)2 t=12hr

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A car A is travelling on a straight level road with a uniform speed of 60km/h. It is followed by another car B which is moving with a speed of 70km/h. When the distance between them is 2.5 km, the car B is given a deceleration of 20km/h2 After how much time will B catch up with A