two cars a and b travel in a straight road. Car A maintain constant speed of 20 m/s and car b maintain a constant speen of 40 m/s, if b is initially 600m behind A then how far will a travel before it taken over by b
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Answer:
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Given data :
- Two cars A and B travel in a straight road.
- Car A maintain constant speed of 20 m/s and car B maintain a constant speen of 40 m/s.
- B is initially 600 m behind A then how far will A travel before it taken over by B.
Solution : according to given,
→ speed of car A = 20 m/s
→ speed of car B = 40 m/s
Here, we first need to find time taken by car B to cover distance 600 m.
By formula of speed :
→ speed = distance/time
→ 40 = 600/time
→ time = 600/40
→ time = 60/4
→ time = 15 sec
Now, {we need to find distance travel by car A in 15 sec (speed of car A = 20 m/s )}
→ speed = distance/time
→ 20 = distance/15
→ distance = 20 * 15
→ distance = 300 m .....( 1 )
According to given and from eq. ( 1 )
car A is {600 + 300} m far from car B. i.e.
car A is 900 m far from car B.
Answer : when car B cover 600 m then car A is 300 m far from B. Total disctance coverd by car B to over take car A is 900 m.
{More info : Time taken by car B when it cover distance 900 m to over take car A.
→ speed = distance/time
→ 40 = 900/time
→ time = 900/40
→ time = 45/2
→ time = 22.5 sec
Answer : 22.5 sec taken by car B when it cover distance 900 m to over take car A. }