To find the value of n in the ratio 2.5 meters to 60 centimeters, divide both measurements by a common factor. The value of n is 60. The flow rate from the tap is 100 cm³/s and is halved to 50 cm³/s.
a) To find the value of n in the ratio 2.5 meters to 60 centimeters, we need to convert both measurements to the same unit. Since 1 meter is equal to 100 centimeters, we can write the ratio as 2.5 meters to 6000 centimeters. Now, we can simplify the ratio by dividing both measurements by a common factor. In this case, we can divide both measurements by 100, giving us a ratio of 0.025 meters to 60 centimeters. Therefore, the value of n is 60.
b) Since it takes 40 seconds to fill a 4 liter watering can, we can find the flow rate by dividing the volume of water by the time. 4 liters is equal to 4000 cubic centimeters (cm³). Therefore, the flow rate is 4000 cm³ / 40 seconds = 100 cm³/s. Now, since the rate of water flow is halved, the new flow rate would be half of 100 cm³/s, which is 50 cm³/s.
the complete Question is given below:
Cannot work out part a and b (ii)!
a) The ratio 2.5 metres to 60 centimetres can be written in the form 1:n. Find the value of n.
b) Water flows at a steady rate from a tap. It takes 40 seconds to fill a 4 litre watering can from the tap.
The rate at which water flows from the tap is halved.
i) Complete 4 liters = 4000 cm^3
ii) Find the rate at which the water is now flowing from the tap. Give your answer in cubic centimetres per second (cm^3/s).