Time Speed and Distance Questions with Solution (Advanced)

Solution:

X + Y = 20,

X - Y = 5

=> X = 12.5 kmph.

Speed upstream = 50/10 = 5 kmph.

Speed downstream = 40/8 = 5 kmph.

Solution:

Since both these speeds are equal, it means that the water is still. =>Required answer = 5 kmph

Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph while B starts at 2 pm at the rate of 10 kmph.

Solution:

By the time B starts, A has already covered 16 km.

Difference between B's speed and A's speed is 2 km/hr.

So, total time for B to catch up with A will be 16/2 = 8 hr

At 10 pm, B will overtake A.

Distance covered by A before he is overtaken by B = 10 x 8 = 80 km.

i.e. A and B will be 5 km apart at 11/2 hrs after A's start and 21/2 hrs after B's start,  i.e. at 7.30 pm

and 12.30 am next day.

Hence required answers are 80 km, 7.30 pm and 12.30 am next day.

Solution:

45 * (5/18)*6

75 m

Solution:

In 60 minutes, the train covers 92400 m.

:. in 20 minutes, the train covers 30800 m.

Solution:

Let the speed of Amit from city P to city Q = 64 kmph

Speed of Amit from city Q to city P = 48 kmph

Return journey takes 3 hours more time than the previous Distance between the city P to Q = x

x/48 - x/64 = 3

64x - 48x = (3 × 3072)

16x = 9216

x = 576 km

Solution:

⇒ Total distance = 9 + 23 = 32 m

⇒ Total time = 3 + 5 = 8 sec

Now, Average speed = Total distance/Total time

⇒ 32/8 = 4 m/sec

∴ The average speed is 4 m/s.

Solution:

Speed of the stream = 2 km/h

Speed of the boat in still water = 3 × 2 = 6 km/h

Downstream speed = Speed of the boat in still water + Speed of the stream Upstream speed = Speed of the boat in still water - Speed of the stream Downstream speed = 6 + 2 = 8 km/h

Upstream speed = 6 - 2 = 4 km/h

Downstream distance: (x + 30) km in 5 hours

Downstream speed = 8 km/h

Distance = Speed × Time

(x + 30) = 8 × 5

(x + 30) = 40

x = 40 - 30

x = 10

Upstream distance: (y + 40) km in 15 hours

Upstream speed = 4 km/h

Distance = Speed × Time

(y + 40) = 4 × 15

(y + 40) = 60

y = 60 - 40

y = 20

Time taken to travel (4x + 2y) km downstream: Downstream distance = 4x + 2y

Downstream distance = 4(10) + 2(20)

Downstream distance = 40 + 40

Downstream distance = 80 km

Time taken = Distance / Downstream speed

Time taken = 80 / 8

Time taken = 10 hours

Solution:

Distance covered by walking = Walking speed × Walking time Distance = 5 km/h × 3.75 hours

Distance = 18.75 km

Speed of the cycle = Distance / Cycling time

Speed of the cycle = 18.75 km / 2.1667 hours

Speed of the cycle = 18.75/2.1667

Speed of the cycle = 8.65 km/h

The closest option is 8 (17)/(26) km/h

Solution:

Let the length of tunnel be x meter

Then, the total distance = x + 500

According to the question,

⇒ x + 500 = 100 × 10

⇒ x = 1000 - 500 = 500

Solution:

Let the length of the train be L

According to the question,

Total distance = 1500 m + L

Speed = 60(5/18)

⇒ 50/3 m/sec

Time = 2 × 60 = 120 sec

⇒ 1500 + L = (50/3)× 120

⇒ L = 2000 - 1500

⇒ L = 500 m

Solution:

In a 1500 m race, Anil beats Bakul by 150 m

When Anil completes the race, Bakul covered (1500 - 150) = 1350 m In a 1500 m race Charles is 75 m behind Bakul

So, in 1350 m race Charles is 75/1500 × 1350 = 67.5 m behind Bakul So, Charles is (67.5 + 150) = 217.5 m behind from Anil in 1500 m race

Solution:

Relative speed of A and B = (4 - 2) = 2 m/s

Relative speed of B and C = (6 + 4) = 10 m/s

Relative speed of A and C = (6 + 2) = 8 m/s

Time taken by A and B = 1200/2 = 600 sec

Time taken by B and C = 1200/10 = 120 sec

Time taken by A and C = 1200/8 = 150 sec

A, B and C will meet at = L.C.M {600,120, 150} = 600 sec = 600/60 = 10 minutes

Solution:

Let the speed of Babita be 2x

⇒ Speed of Geeta = (5/2) × 2x = 5x

Let the distance covered by Geeta be y meters ⇒ Distance covered by Babita = (y - 40) meters As time is constant, distance is directly proportional to speed 2y = 5y - 200

⇒ y = 200/3 = 66.67m

Solution:

Time taken = 74 min : 111 min [given]

Ratio of Time taken = 2 : 3

Average Speed = 207/5

Average Speed = 41.4 km/hr