A 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?Options120 Km240 Km150 Km250 Km
Question
A 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?Options120 Km240 Km150 Km250 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.
Let's denote the total distance as D.
Since the car travels half the distance at each speed, we can say that it travels D/2 at 30 kmph and D/2 at 40 kmph.
We can use the formula for time, which is distance divided by speed.
The time it takes to travel D/2 at 30 kmph is (D/2) / 30. The time it takes to travel D/2 at 40 kmph is (D/2) / 40.
We know that the total time for the trip is 7 hours, so we can set up the following equation:
(D/2) / 30 + (D/2) / 40 = 7
To solve for D, we first need to find a common denominator for the fractions. The least common multiple of 30 and 40 is 120, so we multiply each term by 120:
2D + 3D = 7 * 120
This simplifies to:
5D = 840
Finally, we divide each side by 5 to solve for D:
D = 840 / 5 D = 168
So, the total distance between A and B is 168 km. However, this option is not available in the given options. There might be a mistake in the problem or the options provided.
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