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A bus driver is driving a bus at a speed of 40 km per hour. After travelling at this speed for some time, he increases its speed to 55 km per hour. If he travels a total distance of 285 km and the total time taken for the journey is 6 hours, then how much distance does he travel at the speed of 55 km per hour?
  • a)
    165 km
  • b)
    180 km
  • c)
    200 km
  • d)
    220 km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A bus driver is driving a bus at a speed of 40 km per hour. After trav...
Given:
Speed of the bus = 40 km/h
Increased speed of the bus = 55 km/h
Total distance = 285 km
Total time taken = 6 hours

To find: Distance traveled at the speed of 55 km/h

Let's assume that the bus traveled at the speed of 40 km/h for 'x' hours and at the speed of 55 km/h for '6 - x' hours.

So, the distance traveled at the speed of 40 km/h can be calculated as:
Distance1 = Speed1 * Time1

Similarly, the distance traveled at the speed of 55 km/h can be calculated as:
Distance2 = Speed2 * Time2

Since the total distance is the sum of both distances, we have:
Distance1 + Distance2 = 285 km

Now, let's calculate the values of Time1 and Time2.

Time1 = Distance1 / Speed1
Time2 = Distance2 / Speed2

Given that the total time taken is 6 hours, we can write:
Time1 + Time2 = 6

Substituting the values of Time1 and Time2 in terms of Distance1 and Distance2, we get:
Distance1 / Speed1 + Distance2 / Speed2 = 6

Simplifying the equation, we have:
Distance1 / 40 + Distance2 / 55 = 6

To find the distance traveled at the speed of 55 km/h, we need to solve the above equation.

Calculation:
Let's assume the distance traveled at the speed of 40 km/h is 'D1' and the distance traveled at the speed of 55 km/h is 'D2'.

D1 / 40 + D2 / 55 = 6

Multiplying through by the LCM of 40 and 55, which is 440, we get:
11D1 + 8D2 = 2640

Given that D1 + D2 = 285, we can rewrite the equation as:
11(285 - D2) + 8D2 = 2640

Expanding and simplifying the equation, we get:
3135 - 11D2 + 8D2 = 2640

-3D2 = 2640 - 3135
-3D2 = -495

Dividing through by -3, we get:
D2 = 165

Therefore, the distance traveled at the speed of 55 km/h is 165 km.

Hence, the correct answer is option A) 165 km.
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A bus driver is driving a bus at a speed of 40 km per hour. After travelling at this speed for some time, he increases its speed to 55 km per hour. If he travels a total distance of 285 km and the total time taken for the journey is 6 hours, then how much distance does he travel at the speed of 55 km per hour?a)165 kmb)180 kmc)200 kmd)220 kmCorrect answer is option 'A'. Can you explain this answer?
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A bus driver is driving a bus at a speed of 40 km per hour. After travelling at this speed for some time, he increases its speed to 55 km per hour. If he travels a total distance of 285 km and the total time taken for the journey is 6 hours, then how much distance does he travel at the speed of 55 km per hour?a)165 kmb)180 kmc)200 kmd)220 kmCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A bus driver is driving a bus at a speed of 40 km per hour. After travelling at this speed for some time, he increases its speed to 55 km per hour. If he travels a total distance of 285 km and the total time taken for the journey is 6 hours, then how much distance does he travel at the speed of 55 km per hour?a)165 kmb)180 kmc)200 kmd)220 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus driver is driving a bus at a speed of 40 km per hour. After travelling at this speed for some time, he increases its speed to 55 km per hour. If he travels a total distance of 285 km and the total time taken for the journey is 6 hours, then how much distance does he travel at the speed of 55 km per hour?a)165 kmb)180 kmc)200 kmd)220 kmCorrect answer is option 'A'. Can you explain this answer?.
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