Ms X drove at the speed of 45 km/hr from home to a resort. Returning over the same route she got stuck in traffic and took an hour longer, also she could drive only at the speed of 40 km/hr. How many kilometers did she drive each way ?

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Submitted by examrobotsa on

Q: 5 (CAPF/2010)
Ms X drove at the speed of 45 km/hr from home to a resort. Returning over the same route she got stuck in traffic and took an hour longer, also she could drive only at the speed of 40 km/hr. How many kilometers did she drive each way ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,17,8,5,2,1,17

keywords: 

{'speed': [0, 1, 2, 0], 'many kilometers': [0, 0, 3, 0], 'km': [0, 0, 2, 1], 'hour': [5, 5, 11, 12], 'same route': [0, 0, 1, 0], 'traffic': [1, 0, 2, 1]}

The correct answer is option 4, which is 360 kilometers.

To understand why, we can use the formula for calculating distance, which is speed multiplied by time.

In the first scenario, Ms X drove at a speed of 45 km/hr. Let`s assume the time taken to reach the resort is `t` hours. Therefore, the distance from home to the resort is 45t kilometers.

In the second scenario, Ms X drove at a speed of 40 km/hr. This time, it took her one hour longer to reach home. So the total time taken is `t+1` hours. Therefore, the distance from the resort to home is 40(t+1) kilometers.

We can now set up an equation using the distances from each scenario.

45t = 40(t+1)

Simplifying this equation, we get:

45t = 40t + 40

5t = 40

t = 8

Now, substituting the value of `t` back into the equation, we can find the distance:

45t = 45(8) = 360 kilometers

Therefore, Ms X drove a total distance of 360 kilometers each way.