Question

Two cars p and q at the same time from a and b which are 120km a part. If the two cars travel in opposite direction they meet after one hour and if they travel in same direction from a towards b then p meets q after 6 hours. What is the speed of car p?

Answer 1

Answer:

The second clause states that P reaches Q (120 km away) in 6 hours. P is traveling 20 kph.

For the two cars traveling towards each other:

P: 120 - d = 20(1)

Q: d = r(1)

Substituting r for d

120 - r = 20

r = 100

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Answer 2

let p and q meets at D after a hour and p meets q at C after6 hours
case -1
sₚ= dₚ₁/t₁
sₚ= PD/1=PD•••••••(1)
Sq = dₚ₂/t₁=(120-PD)/1••••(2)
case 2
sₚ=(120+BC)/6••••••••(3)
Sq =BC/6••••••(4)
PD= (120+BC)/6
BC=6PD-120[(1)(3)]•••••(5)
120-PD=BC/6[(4)(2)
BC=720-6PD•••••••••(6)
equating (6)&(5)
6PD-120=720-6PD
PD-20=120-PD
2 PD=100
PD=50 km
sₚ=50km /h[using(1)]