Question 1 - Figure it out - Page 183, 184 - Chapter 8 Class 7 - Working with Fractions (Ganita Prakash)

Transcript

Question 1 A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. How much of the tank is filled if the tap is open for (a) 1/3 hour ____________ Amount tank is filled in 1 hour = 7/10 Now, Amount tank is filled in 1/3 hour = 𝟏/𝟑 × 𝟕/𝟏𝟎 = (1 × 7)/(3 × 10) = 𝟕/𝟑𝟎 Question 1 A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. How much of the tank is filled if the tap is open for (b) 2/3 hour ____________ Amount tank is filled in 1 hour = 7/10 Now, Amount tank is filled in 2/3 hour = 𝟐/𝟑 × 𝟕/𝟏𝟎 = (2 × 7)/(3 × 10) = (1 × 7)/(3 × 5) = 𝟕/𝟏𝟓 Question 1 A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. How much of the tank is filled if the tap is open for (c) 3/4 hour ____________ Amount tank is filled in 1 hour = 7/10 Now, Amount tank is filled in 3/4 hour = 𝟑/𝟒 × 𝟕/𝟏𝟎 = (3 × 7)/(4 × 10) = 𝟐𝟏/𝟒𝟎 Question 1 A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. How much of the tank is filled if the tap is open for (d) 7/10 hour ____________ Amount tank is filled in 1 hour = 7/10 Now, Amount tank is filled in 7/10 hour = 𝟕/𝟏𝟎 × 𝟕/𝟏𝟎 = (7 × 7)/(10 × 10) = 𝟒𝟗/𝟏𝟎𝟎 Question 1 A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. How much of the tank is filled if the tap is open for (e) For the tank to be full, how long should the tap be running? Amount tank is filled in 1 hour = 7/10 Now, let’s write in a different way Time taken to fill 7/10 of tank = 1 hour Time taken to fill 7/10 ×10/7 of tank = 1 ×𝟏𝟎/𝟕 hour Time taken to fill 1 of tank = 𝟏𝟎/𝟕 hours Thus, For the tank to be full, the tap be running for 𝟏𝟎/𝟕 hours