Question

The temperature in Australia is 95 degrees and decreasing at a rate of 4 degrees per day. The temperature in the US is 40 degrees and is increasing at a rate of 5 degrees per day. For how many days will Australia be warmer or the same as the US?

Answer 1

For 6 days

Explanation:

Here, we want to find the number of days at which Australia will have a bigger temperature or the same temperature as US

95 degrees, decreasing at 4 degrees per day

40 degrees, increasing at a rate of 5 degrees per day

let the number of days be x

In x days, temperature of Australia will be 95-4x

In x days, temperature of US will be 40 + 5x

For the temperature to be same;

40 + 5x = 95 - 4x

95-40 = 5x + 4x

9x = 55

x = 55/9

x = 6.111 which is approximately 6

For 6 days, the temperature in Australia will be warmer , on the 7th day, the US temperature becomes warmer