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Rupesh started his journey of 150km with the speed of 45kmph, after travelling for 2hrs, he realized that he is left with 1hr to reach his destination. Find his new speed if he reached his destination on-time.
  • a)
    45kmph
  • b)
    50kmph
  • c)
    60kmph
  • d)
    65kmph
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Rupesh started his journey of 150km with the speed of 45kmph, after tr...
Total distance = 150km
Distance covered by him in 2 hrs = 45*2 = 90km
Remaining distance = 150-90 = 60km

So the answer is option C.
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Most Upvoted Answer
Rupesh started his journey of 150km with the speed of 45kmph, after tr...
To find the new speed at which Rupesh must travel to reach his destination on time, let's break down the given information and solve the problem step by step.

Given:
- Total distance to be traveled: 150 km
- Initial speed: 45 kmph
- Time traveled before realizing he is left with 1 hour: 2 hours

Step 1: Calculate the distance covered in the first 2 hours.
Distance covered in 2 hours = Speed × Time
Distance covered in 2 hours = 45 kmph × 2 hours
Distance covered in 2 hours = 90 km

Step 2: Calculate the remaining distance to be covered.
Remaining distance = Total distance - Distance covered in 2 hours
Remaining distance = 150 km - 90 km
Remaining distance = 60 km

Step 3: Calculate the time available to cover the remaining distance.
Time available = 1 hour

Step 4: Calculate the new speed required to cover the remaining distance in the available time.
New speed = Remaining distance / Time available
New speed = 60 km / 1 hour
New speed = 60 kmph

Therefore, Rupesh must travel at a speed of 60 kmph to reach his destination on time.

Hence, the correct answer is option 'C) 60 kmph'.
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