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1) SAME DIRECTION means that A is faster than B since they will
meet in 5 hours.
A B
|-----------------------------------------------|-----------------------------------C-Meeting
⊕___________100 km_________⊕________ x km________⊕
Let x be the distance exceeding the 100 km and C the meeting point
Speed A = distance/time → (100 + x)/(5)
Speed B = distance/time → (x)/(5)
2) TRAVEL TOWARDS EACH OTER:
A Meeting B
|-------------------------------------------------------C----------y km--------
⊕_____________________100 km___________________⊕
Speed A = (100-y)/1
Speed B = y/1
Since the speed of A is the same in the 1st and 2nd case, Speed B also then we can write:
For A: (100 + x)/(5) = (100-y)/1 and
For B: (x)/(5) = y/1
Solving this equation gives x= 200 km and y = 40 km
Plug the value of x and y in the Speed formula, you will find that:
Speed A = 60 km/h and Speed B = 40 km/h
meet in 5 hours.
A B
|-----------------------------------------------|-----------------------------------C-Meeting
⊕___________100 km_________⊕________ x km________⊕
Let x be the distance exceeding the 100 km and C the meeting point
Speed A = distance/time → (100 + x)/(5)
Speed B = distance/time → (x)/(5)
2) TRAVEL TOWARDS EACH OTER:
A Meeting B
|-------------------------------------------------------C----------y km--------
⊕_____________________100 km___________________⊕
Speed A = (100-y)/1
Speed B = y/1
Since the speed of A is the same in the 1st and 2nd case, Speed B also then we can write:
For A: (100 + x)/(5) = (100-y)/1 and
For B: (x)/(5) = y/1
Solving this equation gives x= 200 km and y = 40 km
Plug the value of x and y in the Speed formula, you will find that:
Speed A = 60 km/h and Speed B = 40 km/h
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