bySayantani Barman Experta en el extranjero
Question: By walking at 4/5th of his usual speed, Brent reaches his office 10 minutes later than usual. What is the usual time taken by Brent to reach his office?
- 15 minutes
- 20 minutes
- 40 minutes
- 45 minutes
- 55 minutes
Answer:
Solution with Expalnation:
Approach Solution (1):
As we know distance is constant in this scenario so, speed is indirectly proportional to Time
Speed ratio is 4/5 means initially speed 5
New speed = 4
Initial speed = 4 (inverse relationship)
New speed = 5
Difference of time is given 10 minutes late
1 = 10 minutes
So initial time = 4 * 10 = 40 minutes
Correct Option: C
Approach Solution (2):
Given: The person walks 4/5 of the usual speed
He was 10- minutes later than usual
Formula used: Distance = Speed * Time
Calculation: Let the distance covered be D and his speed be S
So, his usual time to reach the office = \(\frac{D}{S}\)
Now, his new speed = \(\frac{4}{5}S\)
According to the question:
\(\left\{\frac{\frac{D}{4S}}{5}\right\} - \left\{\frac{D}{S}\right\} = 10 minutes\)
\(\Rightarrow\frac{5D}{4S}-\frac{D}{S} = \frac{10}{60}hours\)
\(\Rightarrow \frac{D}{4S}=\frac{1}{6}hours\)
\(\Rightarrow \frac{D}{S} = \frac{4}{6}hours\)
\(\Rightarrow \left\{\frac{4}{6}* 60\right\} minutes = 40 minutes\)
Correct Option: C
Approach Solution (3):
Formula used: \(Speed \propto \frac{1}{Time}\)
Calculation:
Usual speed : New speed = 5 : 4
Usual time : New time = 4 : 5
So, the difference between usual time to new time = ( 5 – 4) units = 1 unit
Now, 1 unit = 10 minutes
4 units = (10 * 4) minutes
= 40 minutes
Correct Option: C
“By walking at 4/5th of his usual speed, Brent reaches his office 10 minutes later than usual. What is the usual time taken by Brent to reach his office?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
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