In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Superman and Batman in their boat are moving towards each other If Superman travel against the stream and Batman along the stream they are at a distance of 2300 km from each other. If the Speed of Stream is 20 km/h and Speed of Superman’s Boat is 100 km/h and Speed of Batman’s Boat is 130 km/h. Find the Time Taken to meet each other Quantity B: Tony Stark is flying in his suit 1 hour before Captain America with the speed of 200 km/h. If Captain America is chasing him in the boat which runs at a speed of 270 km/h against a stream which has speed of 20 km/h. Find the time in which he catches the Tony Stark.?

Question

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Superman and Batman in their boat are moving towards each other If Superman travel against the stream and Batman along the stream they are at a distance of 2300 km from each other. If the Speed of Stream is 20 km/h and Speed of Superman’s Boat is 100 km/h and Speed of Batman’s Boat is 130 km/h. Find the Time Taken to meet each other Quantity B: Tony Stark is flying in his suit 1 hour before Captain America with the speed of 200 km/h. If Captain America is chasing him in the boat which runs at a speed of 270 km/h against a stream which has speed of 20 km/h. Find the time in which he catches the Tony Stark.?

Quantity A > Quantity B
Quantity A < Quantity B
Quantity A ≤ Quantity B
Quantity A ≥ Quantity B
Either Quantity A = Quantity B or no relation can be established.

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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1 Answers 4 Views

AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 : Quantity A > Quantity B

Formula Used:

Speed = Distance/Time

For Upstream

S_B – S = Distance/Time

For Downstream

S_B + S = Distance/Time

⇒ S_B = Speed of the Boat

⇒ S = Speed of the stream

If time is same, then D₁/S₁ = D₂/S₂

Time = Distance/Relative Speed(S₁ – S₂)

Quantity A:

Let the Time when they meet is T

Let the distance travelled by Superman is x km

Distance travelled by Batman is 2300 – x km

Speed of Superman Boat in Upstream (S_s) = S_B – S = 100 – 20 = 80 km/h

Speed of Batman Boat in Downstream (S_Ba) = S_B + S = 130 + 20 = 150 km/h

If time is same, then D_s/S_s = D_B/S_Ba

x/80 = (2300 – x)/150

150x = 80 × (2300 – x)

150x = 184000 – 80x

230x = 184000

x = 800 km

For Upstream

S_B – S = Distance/Time

80 = 800/Time

Time = 10 hours

The Time Taken to meet each other is 10 hours

Quantity B:

Tony Stark complete how much distance in 1 hour with the speed of 200 km/h

Distance = Speed × Time

Distance = 200 × 1 = 200 km

Distance between Tony Stark and Captain America when Captain America start travelling in his boat is 200 km.

Captain America’s Boat Speed = 270 km/h

Speed of the stream = 20 km/h

Captain America’s Boat Speed in river = 270 – 20 = 250 km/h

Time = Distance/Relative Speed(S₁ – S₂)

Time = 200/(250 – 200)

Time = 200/50 = 4 hour

The Time Taken is 4 hour

Hence the Quantity A > Quantity B (10 > 4)