Question

A thief escapes in a car driving at 60 km/h towards a city 400 km away. Only after 30 minutes,

the police start to chase at 80 km/h. What distance will the police have covered when the thief

is caught?​

Answer 1

Answer:

The police will have covered 120 km when the thief is caught.

Step-by-step explanation:

This question is on relative speed.

The formula is given by :

Distance =speed ×Time

Speed = 60km/h

Time in hours = 30/60 = 0.5 hours

Applying the formula we have:

60× 0.5 =30km

Therefore 30km is the relative distance

Relative speed = 80 km/hr-60 km/hr=

20km/hr

Time the caught the thief = relative distance ÷ Relative speed

30 ÷ 20 = 1.5hours

Distance =speed of police ×Time they caught the thief

80 km/hr ×1.5hrs

=120km