Question:
In a metro railway station B, a board says that there is a train to Station A for every 28 minutes. On my arrival an announcement at station B says the next train to station A will arrive in 12 minutes and the previous train left station B at 8.21 am. Then the time of my arrival at station B is
In a metro railway station B, a board says that there is a train to Station A for every 28 minutes. On my arrival an announcement at station B says the next train to station A will arrive in 12 minutes and the previous train left station B at 8.21 am. Then the time of my arrival at station B is
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In train interval questions, first find the exact next scheduled train, then work backward using waiting time.
Updated On: Jul 15, 2026
- 8:37 am
- 8:49 am
- 8:40 am
- 8:45 am
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The Correct Option is A
Solution and Explanation
Concept:
Train frequency means each train leaves after a fixed interval.
To find arrival time:
• Find the next train time from the previous train.
• Subtract the waiting time.
Step 1: Find the next train departure time.
Previous train left at: \[ 8:21 \text{ am} \] Frequency: \[ 28 \text{ minutes} \] So next train leaves at: \[ 8:21+28=8:49 \text{ am} \]
Step 2: Use the announcement.
At arrival, it was announced: \[ \text{Next train will arrive in }12\text{ minutes} \] So arrival time at station: \[ 8:49-12=8:37 \text{ am} \] Thus, the time of arrival at station B is: \[ \boxed{8:37 \text{ am}} \]
• Find the next train time from the previous train.
• Subtract the waiting time.
Step 1: Find the next train departure time.
Previous train left at: \[ 8:21 \text{ am} \] Frequency: \[ 28 \text{ minutes} \] So next train leaves at: \[ 8:21+28=8:49 \text{ am} \]
Step 2: Use the announcement.
At arrival, it was announced: \[ \text{Next train will arrive in }12\text{ minutes} \] So arrival time at station: \[ 8:49-12=8:37 \text{ am} \] Thus, the time of arrival at station B is: \[ \boxed{8:37 \text{ am}} \]
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