Mathematics
Grade6
Easy
Question
Pete roller skates 20 miles in 2 hours. At this rate, time taken by him to cover 35 miles is ___________ hours.
- 2.5
- 3.1
- 3.5
- 2.7
Hint:
In this question, we are given the time required by Pete to roller skate a distance of 20 miles. It is 2 hours. We are asked to find the time taken by Pete to cover a distance of 35 miles at the same rate. We will have to find the rate from the first data and use it to find the time for the second data.
The correct answer is: 3.5
The time required by Pete to roller skate the distance of 20 miles is 2 hours.
Using this data, we can find the rate at which Pete is roller skating.
Rate means the speed at which Pete is roller skating. Once we find the rate, we can use it to find the time required to cover any distance, given the rate remains constant.
So the formula for rate or speed is
We have
Distance = 20 miles
Time = 2 hours
Substituting these values in the above equation we get,
So we get the rate at which Pete is roller skating
As it is given in the question, that at the same rate Pete travels the distance 35 miles, we can use it to find the time
Rearranging it to find the value of time
So the time required by Pete to roller skate the distance at rate 10 miles per hour is 3.5 hours
So the option which is '3.5’, is the right option.
We have to be careful about the units in the question. Before operating we should convert the units in a way that same quantities have same unit.
