VJesus12 wrote: ↑Wed Jun 02, 2021 10:50 am
Walking at \(60\%\) of his usual speed a man takes \(24\) minutes more to cover a distance. What is his usual time to cover this distance?
A. 30
B. 36
C. 42
D. 48
E. 54
Answer:
B
Source: GMAT Club Tests
Let's start with a
WORD EQUATION:
distance traveled at REGULAR speed =
distance traveled at REDUCED speed
distance = (rate)(time)
Let
R = REGULAR speed
So
0.6R = REDUCED speed
Let
t = travel time (in minutes) at REGULAR speed
So
t + 24 = travel time (in minutes) at REDUCED speed
Now plug this information into our WORD EQUATION to get:
Rt =
(0.6R)(t + 24)
Divide both sides by R to get: t = (0.6)(t + 24)
Rewrite 0.6 as 3/5 to get: t = (3/5)(t + 24)
Expand: t = 3t/5 + 72/5
Multiply both sides by 5 to get: 5t = 3t + 72
Solve to get: t = 36
Answer: B
Cheers,
Brent
