[Solved] A company wants to replace old EV batteries with next-gen ones... If the old battery lasts 5 years and charges in 50 minutes, what are the expected lifespan and charging time of the new battery? | EV Technology

EV Technology - Future Battery Technologies

A company wants to replace old EV batteries with next-gen ones that last twice as long and charge 40% faster. If the old battery lasts 5 years and charges in 50 minutes, what are the expected lifespan and charging time of the new battery?

A10 years lifespan, 70 minutes charging

B7 years lifespan, 20 minutes charging

C10 years lifespan, 30 minutes charging

D5 years lifespan, 30 minutes charging

Step-by-Step Solution

Solution:

Step 1: Calculate new lifespan
Old lifespan 5 years x 2 = 10 years
Step 2: Calculate new charging time
40% faster means charging time reduces by 40%: 50 minutes x (1 - 0.40) = 30 minutes
Final Answer:
10 years lifespan, 30 minutes charging -> Option C
Quick Check:
Lifespan and charging time improved as expected [OK]

Quick Trick: Double lifespan, reduce charging time by 40% [OK]

Common Mistakes:

Adding 40% to charging time instead of subtracting
Forgetting to double lifespan
Mixing units or percentages

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If the old battery lasts 5 years and charges in 50 minutes, what are the expected lifespan and charging time of the new battery?

Step 1: Calculate new lifespan

Step 2: Calculate new charging time

Final Answer:

Quick Check:

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