time and distance Model Questions & Answers, Practice Test for ibps rrb po officer scale 1 prelims 2024

Answer: (a)

Let the plane be at point A at t seconds and at point B after t + 30 seconds

Since the motion is uniform, we can say that at time t + 15 seconds, the plane is above the point is diametrically opposite to the point P from where the angle is same.

Now since the time taken to cover the full circle is 3 minutes (180 seconds), the time taken by the plane to reach the diametrically opposite point will be 90 seconds.

So the time after which the plane reaches the point P will be = t + 15 + 90 seconds = (t + 105) seconds

Answer: (d)

Speed of a car = 45 km/hr

Time taken by the car = 140 min = ${140}/{60}$h

So, required distance travelled by car = Speed × Time

= 45 × ${140}/{60}$ = 105 km

Answer: (d)

Let a distance walked be x km.

According to question

$x/{2.5} + x/{3.25} = 4{36}/{60}⇒x(1/{2.5} + 1/{3.25}) = {276}/{60}$

⇒x$(2/5 + 4/{13}) = {276}/{60}$

∴ x = ${276}/{60} × {65}/{46}$ = 6.5 km

Answer: (c)

Relative speed = (11 – 10) $5/{18}$ m/s = $5/{18}$ m/s

Distance travelled by police in 6 min

= $5/{18}$ × 60 × 6 = 100 m

Distance between them = 200 – 100 = 100 m

Answer: (b)

Speed of 1st train = 40 × $5/{18} = {200}/{18}$ m/sec

Speed of 2nd train = 32 × $5/{18} = {160}/{18}$ m/sec

Relative speed of trains

= ${200}/{18} + {160}/{18} = {360}/{18}$ = 20 m/sec

Total length of both the trains = 121 + 99 = 220 m

Time required = ${220}/{20}$ = 11 sec

So, option (b) is correct.