A cyclist travels at a constant 10 km/hr up a hill to a destination and then immediately returns to the starting point at a constant 30 km/hr. The total journey time was 40 minutes.Question 16How many kms away from the starting points was the destination?3 ⅓456
Question
A cyclist travels at a constant 10 km/hr up a hill to a destination and then immediately returns to the starting point at a constant 30 km/hr. The total journey time was 40 minutes.Question 16How many kms away from the starting points was the destination?3 ⅓456
Solution
The total journey time was 40 minutes, which is 2/3 of an hour.
Let's denote the distance to the destination as D.
The time it takes to go uphill is D/10 and the time it takes to go downhill is D/30.
So, the total time is D/10 + D/30 = 2/3.
To solve for D, we can multiply through by 30 to get rid of the denominators:
3D + D = 20
4D = 20
D = 5
So, the destination was 5 km away from the starting point.
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