A car leaves Delhi for Chandigarh at 0630
hours. It stops half an hour in the way and
reaches Chandigarh at 1.30 p.m. What time
it takes to reach Chandigarh without any
stoppage?
Answers
Step-by-step explanation:
i hope my answer will help you
Answer:
Create a visual of where the three cars are and how they travel between the points.
CAT Question - Time Speed and Distance - Relative Speed
Let V1, V2 and V3 be the speeds of the cars.
ABV1 - ABV2 = ABV2 - ABV3
240V1 - 240V2 = 1
V3 = 2V1
Condition I states that the cars leave in equal intervals of time and arrive at the same time. Or, the difference in the time taken between cars 1 and 2 should be equal to the time taken between cars 2 and 3.
We get ABV1 - ABV2 = ABV2 - ABV3
As the second car arrived at C an hour earlier than the first, we get a second equation
240V1 - 240V2 = 1
The third car covered 240 + 80 kms when the first one covered 240 – 80 kms. Therefore, 320V3 = 160V1
This gives us V3 = 2V1
From condition 1, we have ABV1 - ABV2 = ABV2 - ABV3
Substituting V3 = 2V1, this gives us ABV1 - ABV2 = ABV2 - AB2V1
or 3AB2V1 = 2ABV2 or V2 = 4V13
Solving 240V1 - 240V2 = 1 , we get 60V1 = 1 or V1 = 60 kmph
=> V2 = 80 kmph and V3 = 120 kmph
The question is "What is the difference between the speed of the first and the third car?"
Hence, the answer is 60 kmph
Choice A is the correct answer.
Step-by-step explanation: