Question

(iv) Places A and B are 100 km apart on a highway. Oșe car starts from A and another
from B at the same time. If the cars travel in the same direction at different speeds,
they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What
are the speeds of the two cars?​

Answer 1

X+y=100 eq1

5x+5y=100

X+y=20 eq2

sub eq 1 and 2,we get

X=60

y=40

Answer 2

Answer:

60kmph, 40kmph

Step-by-step explanation:

distance between them 100km

time taken to meet 1hr

therefore relative speed =100/1 = 100 kmph

assuming their speed as 60 & 40 kmph respectively solves the second part of the question.

As speed =60kmph

Bs speed = 40 kmph

B travels in 5 hour = 40x5= 200km

lead B has over A = 100km

total lead = 200+100 =300km

As speed = 60 kmph

distance covered by A= 60x5 =300km

try visualising it. i dont have a pen and paper with me right now otherwise i would've explained it in more detail. hope it helps.