Time, Distance and Speed Test

Result

Time, Distance and Speed Test - 2

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Two persons start from A and B with the speed of 25 kmph and 49 kmph, respectively towards each other. After they cross each other, the person from B covers 145 km to reach A. What is the distance (in km) between A and B?

A
450.2

B
429.2

C
220

D
Cannot be determined

Solution

Let the two meet after a time of t hours.
Distance covered by A in t hours = 25 t km
So, 25 t = 145
Or, t = 29/5
Distance covered by B in this time = 49 t km = 284.2 km
Thus, total distance between A and B = 284.2 km + 145 km = 429.2 km
Question 2
1 / -0

A ship went on a voyage. After it had travelled 180 miles, a plane started from the same starting point, as of the ship, with 10 times the speed of the ship. How far from the starting point would they be when they are at the same distance from the starting point?

A
190

B
180

C
200

D
220

Solution

Let speed of the ship = x mph
Time after which they met = 't' h

Now, according to the question,
180 + xt = 10xt
On solving, we get

xt = 20 = Distance travelled by ship (in miles) in time 't' h
Total distance travelled by ship = Distance from starting point = (180 + 20) miles = 200 miles
Question 3
1 / -0

Brown starts 2 hours after John and overtakes him in 4 hours. If the difference between the speeds of John and Brown is 20 kmph, what is the distance travelled by Brown before meeting John?

A
60 km

B
160 km

C
240 km

D
320 km

Solution

Let John's speed be x kmph.
Then, Brown's speed be (x + 20) kmph.
Distance travelled by John in 6 hours before meeting = 6x km
Distance travelled by Brown in 4 hours before meeting = 4(x + 20) kmph
According to question,
6x = 4 (x + 20)
⇒ x = 40 kmph
Required distance = 4 × 60 = 240 km
Question 4
1 / -0

A train of length 120 metres overtakes another train of length 100 metres in 8 seconds. If the speed of the slower train is 27 kmph, what is the speed of the faster train?

A
118 kmph

B
101 kmph

C
127 kmph

D
126 kmph

Solution

Length of the first train = 120 m
Length of the second train = 100 m

Distance = 220 m
t = 8 sec --- (1)

v₁ = 27 kmph = 27 × 5/18 m/s = 7.5 m/s

Speed of the faster train = v₂
Relative speed = v₂ - v₁ -- (2)

From (1) and (2),

v₂ - v₁ = 220/8 = 27.5 m/s
v₂ = 35 m/s = 35 × 18/5 kmph = 126 kmph
Question 5
1 / -0

A boat takes 6 hours to travel from A to B (upstream). The river flows at the rate of 2 kmph. How long will the boat take to travel from B to A (downstream), if the distance from A to B is 36 km?

A
3.0 hours

B
4.0 hours

C
4.2 hours

D
3.6 hours

Solution

Upstream:

Let t be the time taken by the boat to travel from A to B = 6 hours
Let V₁ be the speed of the boat travelling upstream = x

Let V₂ be the speed of the stream = 2 kmph
Distance = 36 km

V₁- V₂= 36/6= 6 kmph
V₁ = 8 kmph

Downstream:
V₁ = 8 kmph
V₂= 2 kmph

Net speed = V₁+ V₂= 10 kmph
Distance = 36 km

Time = 36/10= 3.6 hours