The average temperature of Bhopal in the first four days of July 2019

1.	The average temperature of Bhopal in the first four days of July 2019 was 52 degrees. The average for the second, third, fourth, and fifth days was 55 degrees in Bhopal. If the temperatures of the first and fifth days were in the ratio 5 : 7, then what was the temperature of Bhopal on 5th July 2019?1. 41 degrees2. 38 degrees3. 44 degrees4. 42 degrees
Answer» Correct Answer - Option 4 : 42 degrees Given: Average temperature of Bhopal in the first four days of July 2019 = 52 degrees Average for the second, third, fourth, and fifth days = 55 degrees The temperatures of the first and fifth days were in the ratio = 5 : 7 Formula Used: Average = (Total temperature) / Number of days Calculation: Let the temperature on 1^st and 5^th July 2017 be 5x and 7x degrees respectively. Sum of temperature on 1^st, 2^nd, 3^rd, and 4^th days = (52 × 4) ⇒ 208 ----(i) Sum of temperature on 2^nd, 3^rd, 4^th, and 5^th days = (55 × 4) ⇒ 220 ----(ii) Subtracting (i) from (ii) 5^th – 1^st = 12 degrees. Then, 7x – 5x = 12 ⇒ 2x = 12 ⇒ x = 6 Since temperature on the 5^th July 2017 in Bhopal = 7x ⇒ Since temperature on the 5^th July 2017 in Bhopal = 7 × 6 = 42 degrees ∴ The temperature of Bhopal on 5th July 2019 is 42 degrees.

The average temperature of Bhopal in the first four days of July 2019 was 52 degrees. The average for the second, third, fourth, and fifth days was 55 degrees in Bhopal. If the temperatures of the first and fifth days were in the ratio 5 : 7, then what was the temperature of Bhopal on 5th July 2019?1. 41 degrees2. 38 degrees3. 44 degrees4. 42 degrees

Answer» Correct Answer - Option 4 : 42 degrees

Given:

Average temperature of Bhopal in the first four days of July 2019 = 52 degrees

Average for the second, third, fourth, and fifth days = 55 degrees

The temperatures of the first and fifth days were in the ratio = 5 : 7

Formula Used:

Average = (Total temperature) / Number of days

Calculation:

Let the temperature on 1^st and 5^th July 2017 be 5x and 7x degrees respectively.

Sum of temperature on 1^st, 2^nd, 3^rd, and 4^th days = (52 × 4)

⇒ 208 ----(i)

Sum of temperature on 2^nd, 3^rd, 4^th, and 5^th days = (55 × 4)

⇒ 220 ----(ii)

Subtracting (i) from (ii)

5^th – 1^st = 12 degrees.

Then, 7x – 5x = 12

⇒ 2x = 12

⇒ x = 6

Since temperature on the 5^th July 2017 in Bhopal = 7x

⇒ Since temperature on the 5^th July 2017 in Bhopal = 7 × 6 = 42 degrees

∴ The temperature of Bhopal on 5th July 2019 is 42 degrees.