Question

12. A car started from Town P and ltravelled towards Town Q at 70 km/h. At the same time a van startedfrom Town Q and travelled to Town Pat 60 km/h. After 11/4
hours, they were 65 km apart, still travellingtowards each other.
(i) What is the distance between the two towns?
(ii) After how many hours of travel would they cross each other?




please tell 2nd one​

Answer 1

Answer:

i. 422.5 Km

ii. 3.25 hours

Step-by-step explanation:

Distance covered by the car starting from town P = 70 × 11/4 = 192.5 km

Distance covered by the car starting from Q = 60 × 11/4 = 165 km

Still they are 65 km away from each other.

Total distance between town P and Q = 192.5 + 165 + 65 = 422.5 km.

Let us assume after x hours both will cross each other. Then, the following condition must hold true

$70x + 60x = 422.5 \\ \implies \: 130x = 422.5 \\ \implies \: x = \frac{422.5}{130} \\ \implies \: x = 3.25$

After 3.25 hours both cars will cross each other.