time and distance Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Answer: (a)

Relative speed = 42 – 30 = 12 km/hr = 12 × $5/{18} = {10}/3$m/s

Time = ${\text"Total length of both the trains"/\text"Relative speed"} = {84 + 60}/{{10}/3}$

= ${144 × 3}/10$ = 43.2 seconds

Answer: (b)

Let distance travelled at 100 km/hr be 'x' km.

∴ Distance travelled at 50 km/hr is (170 – x) km.

Total time taken to cover 170 km is 2 hrs.

∴ $x/100+{170-x}/50=2$

⇒x+340-2x=200

x = 140 km

∴ Distance travelled at 100 km/hr is 140 km.

Answer: (b)

Average speed of a tractor = ${575}/23$ = 25km/h

The speed of a bus in an hour = 25 × 2 = 50 km

The speed of a car in an hour = 50 × $9/5$ = 90km

So, the distance covered by car in 4 h is

90 × 4 = 360 km

Answer: (c)

Let the distance be x km. Then,

total time = $x/{2 × 21} + x/{2 × 24}$ = 10hrs.

or, ${x(24 + 21)}/{2 × 21 × 24} = 10 ∴ x = {10 × 2 × 21 × 24}/45$ = 224km

Answer: (a)

Total distance = 64 × 8 = 512 km

Now speed = ${512}/6$ = 85km/h