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In T hours, a car covers 36 km less than...

In T hours, a car covers 36 km less than the distance covered by a bus in the same time. The speed of the car is 12 km/h less than the speed of the bus. Had the speed of the car been 52 km/h, what would have been the distance covered by it in `T - 1/2` hours?

A

260 km

B

120 km

C

390 km

D

130 km

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break it down: ### Step 1: Define Variables Let: - Speed of the bus = \( y \) km/h - Speed of the car = \( y - 12 \) km/h (since the car is 12 km/h slower than the bus) - Distance covered by the bus in \( T \) hours = \( yT \) km - Distance covered by the car in \( T \) hours = \( yT - 36 \) km (since the car covers 36 km less than the bus)
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