A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?

Assessment: WAEC SSCE - General Mathematics - 2005 (Objective) Subject: General Mathematics

Question 1 Report

A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
Answer Details

We can use the formula:

distance = speed x time

to solve the problem.

We are given that the train covers 36 km in 21 minutes. We want to find how long it will take to cover 60 km.

Let's first convert 21 minutes to hours:

21 minutes = 21/60 hours = 0.35 hours

Now we can use the formula to find the speed of the train:

36 km = speed x 0.35 hours

Solving for speed, we get:

speed = 36/0.35 km/h

Using a calculator, we can evaluate this expression to get:

speed = 102.86 km/h

Now we can use the speed to find the time it takes to cover 60 km:

60 km = 102.86 km/h x time

Solving for time, we get:

time = 60/102.86 hours

Converting this to minutes, we get:

time = (60/102.86) x 60 minutes

Simplifying this expression, we get:

time = 35 minutes (approx)

Therefore, the train will take approximately 35 minutes to cover 60 km.

So the correct option is 1.

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