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A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy is
  • a)
    36 km/hr
  • b)
    24 km/hr
  • c)
    54 km/hr
  • d)
    48 km/hr
Correct answer is option 'D'. Can you explain this answer?
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A pizza boy after travelling 75km meets with a travelling jam and then...
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A pizza boy after travelling 75km meets with a travelling jam and then...
Given Information:
- The pizza boy travels a distance of 75 km.
- He encounters a traffic jam and then proceeds at 3/4 of his former speed.
- He arrives at his destination 45 minutes late.
- If the traffic jam had occurred 48 km further, he would have arrived 25 minutes late.

Let's assume:
- The normal speed of the pizza boy is 'x' km/hr.
- The time taken to travel the initial 75 km without the traffic jam is 't' hours.
- The reduced speed after encountering the traffic jam is (3/4)x km/hr.

Calculating Time and Speed:
- Time taken to travel the initial 75 km without the traffic jam = t hours.
- Time taken to travel the remaining distance after encountering the traffic jam = (75 - 48)/(3/4)x = 100/x hours.
- Total time taken to reach the destination = t + 100/x hours.

Equations:
- Equation 1: t + 100/x = t + 45/60 (45 minutes = 45/60 hours)
- Equation 2: t + 100/x = t + 25/60 (25 minutes = 25/60 hours)

Solving the Equations:
- Equation 1: t + 100/x = t + 45/60
=> 100/x = 45/60
=> x = 100 * 60 / 45
=> x = 80 km/hr

- Equation 2: t + 100/x = t + 25/60
=> 100/x = 25/60
=> x = 100 * 60 / 25
=> x = 240 km/hr

Final Answer:
The normal speed of the pizza boy is 80 km/hr.
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A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy isa)36 km/hrb)24 km/hrc)54 km/hrd)48 km/hrCorrect answer is option 'D'. Can you explain this answer?
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A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy isa)36 km/hrb)24 km/hrc)54 km/hrd)48 km/hrCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy isa)36 km/hrb)24 km/hrc)54 km/hrd)48 km/hrCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy isa)36 km/hrb)24 km/hrc)54 km/hrd)48 km/hrCorrect answer is option 'D'. Can you explain this answer?.
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