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:

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) cross times x or y = k cross times 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.

The correct answer is: 2 hours.


    Let the speed of the truck be represented as x and the time taken by the truck be represented as y. The time taken by the truck to cover a distance will decrease if the speed of the truck increases so we can conclude that x is in inverse relationship with y. Let’s say the proportional relationship is given as
    y = k over x……..(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 over 60
    k = 3 cross times 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 = k over 90
    Now, put the value of k = 180
    y = 180 over 90
    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 =fraction numerator text Distance end text over denominator text Time end text end fraction).

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