A man took 4 hours to drive his van from Town x to Town Y at a speed of 50km/h. On his return journey from Town YA to Town X, he increased the speed of 80 km/h. How long did the man take to reach Town X?
Can someone direct me to the answer on this?
d = 50 * 4 = 200 km
200 km = 80 t
t = 200/80 hours
To find the time it took for the man to reach Town X, we can use the formula:
time = distance / speed
First, let's find the distance between Town X and Town Y. We can use the formula:
distance = speed * time
Given that the speed is 50 km/h and the time taken is 4 hours, we can calculate the distance traveled from Town X to Town Y:
distance = 50 km/h * 4 hours = 200 km
Now, let's find the time it took for the man to return from Town Y to Town X. We'll use the same formula, but with a different speed:
time = distance / speed
Given that the speed is now 80 km/h and the distance is 200 km, we can calculate the time taken for the return journey:
time = 200 km / 80 km/h = 2.5 hours
Therefore, the man took 2.5 hours to reach Town X on his return journey.
To find the time it took for the man to reach Town X on his return journey, we need to calculate the distance between the two towns and then divide it by the speed.
The distance between Town X and Town Y is the same for both trips, so we only need to calculate it once.
We know that the speed of the man's van on the first trip was 50 km/h, and it took him 4 hours to reach Town Y. Therefore, the distance between the two towns is:
Distance = Speed x Time
Distance = 50 km/h x 4 h
Distance = 200 km
Now, on the return journey, the man increased his speed to 80 km/h. To find the time it took for him to reach Town X, we can divide the distance by the speed:
Time = Distance / Speed
Time = 200 km / 80 km/h
Time = 2.5 hours
Therefore, the man took 2.5 hours to reach Town X on his return journey.