Select the correct answerA car travels from a place A to B in 7 hour. It covers half the distance at 30 kmph and the remaining distance at 40 kmph, what is the total distance between A and B?Options250 Km120 Km240 Km150 Km
Question
Select the correct answerA car travels from a place A to B in 7 hour. It covers half the distance at 30 kmph and the remaining distance at 40 kmph, what is the total distance between A and B?Options250 Km120 Km240 Km150 Km
Solution
To solve this problem, we need to find the total distance covered by the car. We know that the car travels half the distance at 30 kmph and the other half at 40 kmph.
Step 1: Let's assume the total distance to be 'd' km. Therefore, half the distance would be d/2.
Step 2: We know that time = distance/speed. So, the time taken to cover the first half of the distance at 30 kmph is (d/2)/30 and the time taken to cover the second half of the distance at 40 kmph is (d/2)/40.
Step 3: The total time taken by the car is the sum of the time taken for each half, which is 7 hours. So, we can set up the equation: (d/2)/30 + (d/2)/40 = 7.
Step 4: To solve for 'd', we first need to find a common denominator for the fractions, which is 120. The equation then becomes: 2d/120 + 3d/120 = 7.
Step 5: Simplifying the equation gives us: 5d/120 = 7.
Step 6: Solving for 'd' gives us: d = 7 * 120 / 5 = 168 km.
However, 168 km is not an option in the given choices. It seems there might be a mistake in the problem or the options provided.
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