A man can cross a downstream river with Streamer and Boat in 40 minute...
Upstream – streamer – 60 min
Upstream – Boat – 126 min
40+30+63 = 133 minutes
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A man can cross a downstream river with Streamer and Boat in 40 minute...
To solve this problem, let's break it down step by step:
Given information:
- Time taken to cross downstream by streamer = 40 minutes
- Time taken to cross downstream by boat = 72 minutes
- Time taken to cross upstream by streamer = 1.5 times (50% more) the time taken to cross downstream = 1.5 * 40 = 60 minutes
- Time taken to cross upstream by boat = 1.75 times (75% more) the time taken to cross downstream = 1.75 * 72 = 126 minutes
Step 1: Calculate the time taken to cross upstream by streamer and downstream by boat.
Let's assume the time taken to cross upstream by streamer and downstream by boat is x minutes.
- Time taken to cross upstream by streamer = x minutes
- Time taken to cross downstream by boat = x minutes
Step 2: Calculate the time taken to cross the river downstream by streamer and then return to the same place by boat halfway and by streamer the rest of the way.
- Time taken to cross downstream by streamer = 40 minutes
- Time taken to cross downstream by boat = x minutes
- Time taken to cross upstream by streamer = x minutes
To calculate the total time taken, we add the time taken for each segment:
- Total time taken = Time taken to cross downstream by streamer + Time taken to cross downstream by boat + Time taken to cross upstream by streamer
- Total time taken = 40 + x + x = 40 + 2x
Step 3: Calculate the time taken to cross upstream by streamer and downstream by boat.
- Total time taken = 40 + 2x = 40 + 2(72) = 40 + 144 = 184 minutes
Step 4: Calculate the time taken to cross the river downstream by streamer and then return to the same place by boat halfway and by streamer the rest of the way.
- Total time taken = 184 minutes
Therefore, the time taken for the man to cross the river downstream by streamer and then return to the same place by boat halfway and by streamer the rest of the way is 184 minutes. However, this answer does not match any of the given options.
Hence, the correct answer cannot be determined from the given options.