A 3000 W oven is cooking your Sunday roast for 1 hour and 35 minutes. How much did it cost to cook it?

The cost to cook a roast in a 3000 W oven for 1 hour and 35 minutes, assuming an electricity cost of 12 cents per kWh, would be approximately $0.57. This is based on the total energy consumption of 4.75 kWh for the cooking duration.

Explanation:

To calculate the cost of cooking the Sunday roast, we need to determine the total energy consumed and then multiply it by the cost per unit of electricity (cost per kWh - kilowatt-hour), which is not provided in the question.

First, let's find out the total energy consumed:

The oven power rating is 3000 W (3 kW).
Cooking time is 1 hour and 35 minutes, which is 1.5833 hours (95 minutes / 60 minutes/hour).
Total energy consumed is Power × Time = 3 kW × 1.5833 hours = 4.75 kWh.

To find the cost, we would need the cost per kWh, which typically might be around 9.0 to 14.0 cents per kWh, depending on the region. Let's assume it is 12 cents per kWh as an example (the actual cost can vary).

Cost = Energy consumed × Cost per kWh = 4.75 kWh × $0.12/kWh = $0.57.

This calculation is an estimation and the actual cost will depend on the exact rate charged by the electricity provider.

AarushiAanand AarushiAanand · Answer 2 · 2025-04-23T02:33:19-04:00

Cost estimated is ₹[19/4]y/-.

Given :- Power=3kW , Time=1hr 35min

Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour, so 35min =35/60 hour

35min= 35/60 =7/12 hour

So total computed time = 1hr + [7/12]hr

computed time =19/12hr

Now since in the question there is no mention about cost , so let the cost be ₹y/unit.

Mathematically , Energy is the product of power and time , i.e.

E= Power x Computed time = 3 x 19/12 = 19/4 units.

Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.

Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.

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