Maxwell leaves his home and walks toward Brad's house at the same time : Problem Solving (PS)

Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours

Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km
Answer C

Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.

From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 4xT = 50 - 6xT (i.e distance =Speed x Time)
=> 10T = 50
Hence T = 5Hrs

OA = 4 x 5 = 20 Km
Ans (C)
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Time taken = Total Distance / Relative Speed
Total Distance = 50 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr

Time taken = 50 / 10 = 5 hrs
Distance traveled by Maxwell= Maxwell speed * time taken = 4 * 5 = 20 kms... Answer - C

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Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km

a2menthiere wrote:Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km

Hi a2menthiere ,
I believe that the question is correct as it is . In the middle here means a point between their homes . The point does not have to be at the midpoint of the distance between their homes .
Also , since Brad and Maxwell start at the same time and their speed is not the same , they can never meet at the halfway - that is 25 km .

Hope it helps!!

Skywalker18 wrote:

a2menthiere wrote:Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km

Hi a2menthiere ,
I believe that the question is correct as it is . In the middle here means a point between their homes . The point does not have to be at the midpoint of the distance between their homes .
Also , since Brad and Maxwell start at the same time and their speed is not the same , they can never meet at the halfway - that is 25 km .

Hope it helps!!

Sorry but in my language "middle "means there is the same DISTANCE between two things.

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