Maths-

General

Easy

Question

# A truck covers a particular distance in 3 hours with the speed of 60 miles per hour. If the speed is increased by 30 miles per hour, find the time taken by the truck to cover the same distance.

Hint:

Maths-

General

Easy

Question

Hint:

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

y = ……..(1)

Step 1 of 2:

It is given that the truck covers a particular distance in 3 hours with the speed of 60 miles per hour i.e. x = 60 and y = 3. Putting the values in equation (1)

3 =

k = 3 60 = 180

Step 2 of 2:

Now we are asked to find the time taken by the truck to cover the same distance if the speed is increased by 30 miles per hour i.e the speed of the truck becomes 90 miles per hour. So, x = 90 and we need to find y. Putting the values in equation (1)

y =

Now, put the value of k = 180

y =

y = 2 hours

Final Answer:

Hence, the time taken by the truck to cover the same distance if the speed is increased by 30 miles per hour is 2 hours.

Note: This question can be solved by simply using the formula of speed( speed =).