AMC 8 2026 (Problem 7)

Mika would like to estimate how far she can ride a new model of electric bike on a fully charged battery. She completed two trips totaling 40 miles. The first trip used

\frac{1}{2}

of the total battery power, while the second trip used

\frac{3}{10}

of the total battery power. How many miles can this electric bike go on a fully charged battery?

\text{(A)}\;45

\text{(B)}\;48

\text{(C)}\;50

\text{(D)}\;52

\text{(E)}\;55