An electric kettle has two heating coils. When one coil is used, water in the kettle boils in 5 minutes, while when second coil is used, same amount of water boils in 10 minutes. If the two coils are connected in parallel then same amount of water will boil in time :-
Question
An electric kettle has two heating coils. When one coil is used, water in the kettle boils in 5 minutes, while when second coil is used, same amount of water boils in 10 minutes. If the two coils are connected in parallel then same amount of water will boil in time :-
Solution
To solve this problem, we need to understand that the rate of heating is inversely proportional to the time taken to boil the water.
Step 1: Determine the rate of each coil
- The first coil boils water in 5 minutes, so its rate is 1/5 = 0.2 boils/minute.
- The second coil boils water in 10 minutes, so its rate is 1/10 = 0.1 boils/minute.
Step 2: Determine the combined rate
- If the two coils are connected in parallel, their rates add up. So, the combined rate is 0.2 + 0.1 = 0.3 boils/minute.
Step 3: Determine the time taken for the combined coils
- The time taken is the reciprocal of the rate. So, the time taken by the combined coils is 1/0.3 = approximately 3.33 minutes.
So, if the two coils are connected in parallel, the same amount of water will boil in approximately 3.33 minutes.
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