A car from point A towards point B, travelling at the speed of 20 km/h. $1\frac{1}{2}$ hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches $2\frac{1}{2}$ hours before the first car. Find the distance between A and B.
Answer & explanation
Correct answer: option 2
Let the total distance = A km,
In 1.5 hr Distance traveled by 1st car with 20 km/h speed = 30 km
Remaining distance = (A - 30) km
According to the question,
\(\frac{(A-30)}{20}\) - \(\frac{(A)}{30}\) = \(\frac{(5)}{2}\)
on solving ,
A - 90 = 150
A = 240 km
So total distance = 240 km