elect the correct answerA truck travelled to a place Q from P, 50 km apart at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph, slower than usual speed. If the total time taken by the truck for whole journey is 12 hours, then how many hour will it travel at the faster speed?Options8 hours2 hours3 hours6 hours
Question
elect the correct answerA truck travelled to a place Q from P, 50 km apart at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph, slower than usual speed. If the total time taken by the truck for whole journey is 12 hours, then how many hour will it travel at the faster speed?Options8 hours2 hours3 hours6 hours
Solution
Let's denote the usual speed of the truck as 'x' kmph.
When the truck is moving from P to Q, it's moving at a speed of 'x+10' kmph. When it's returning from Q to P, it's moving at a speed of 'x-10' kmph.
We know that time = distance/speed.
So, the time taken to travel from P to Q = 50/(x+10) hours. And the time taken to return from Q to P = 50/(x-10) hours.
Given that the total time taken for the journey is 12 hours, we can set up the following equation:
50/(x+10) + 50/(x-10) = 12
Solving this equation will give us the value of 'x', the usual speed of the truck.
Once we have the value of 'x', we can substitute it back into the equation 50/(x+10) to find out how many hours the truck travels at the faster speed.
However, without the options for the value of 'x', we cannot solve this problem further. The options provided seem to be potential answers to the final question (how many hours the truck travels at the faster speed), not the intermediate step of finding 'x'.
Therefore, without additional information, we cannot definitively answer this question.
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