Question

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot. When H = 8, T = 120. Work out T when H = 10​

Answer 1

T = 96

Explanation:

From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:

T ∝ 1/H

T = K/H

Cross multiply

K = TH

Next, we shall determine the value of K. This can be obtained as follow:

H = 8

T = 120

K =?

K = TH

K = 120 × 8

K = 960

Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:

H = 10

K = 960

T =.?

T = K/H

T = 960/10

T = 96