Another interpretation: Is it only one horse and one rider? Has it not already been said, "He took six hundred chariots" (Exodus 14:7), "the chariots of Pharaoh and his army" (Exodus 15:4)? Rather, when Israel does the will of the Omnipresent, their enemies before them are no more than a single horse and its rider. Similarly you say, "When you go out to war against your enemy and see horse and chariot" (Deuteronomy 20:1). Is it only one horse and one chariot? Has it not already been said, "a people more numerous than you"? Rather, when Israel does the will of the Omnipresent, and so forth. "The horse and its rider": this tells that the horse was bound to the chariot and the chariot bound to the horse, and they would rise to the heights and descend to the depths, and they were not separated one from the other. A parable: a person throws two vessels into the air; in the end one of them is bound to part from its fellow. But here, "He cast and He shot" (cf. Exodus 15:4): "cast," for they were rising to the heights; "shot," for they were descending to the depths, and they were not separated one from the other. One verse says "cast" and another verse says "shot." How can these two verses be reconciled? "Cast," for they were rising upward; "shot," for they were going downward.
Horse and Rider Rising to Heaven and Plunging to the Deep as One
Yalkut Shimoni on Torah 243:4
דָּבָר אַחֵר, וְכִי סוּס אֶחָד הוּא וְרֶכֶב אֶחָד הוּא, וַהֲלֹא כְּבָר נֶאֱמַר (שמות יד, ז) "וַיִּקַּח שֵׁשׁ מֵאוֹת רֶכֶב", (להלן פסוק ד) "מַרְכְּבֹת פַּרְעֹה וְחֵילוֹ", אֶלָּא כְּשֶׁיִּשְׂרָאֵל עוֹשִׂין רְצוֹנוֹ שֶׁל מָקוֹם אֵין אוֹיְבֵיהֶן לִפְנֵיהֶן אֶלָּא כְּסוּס אֶחָד וְרֹכְבוֹ. כַּיּוֹצֵא בַּדָּבָר אַתָּה אוֹמֵר, "כִּי תֵצֵא לַמִּלְחָמָה עַל אוֹיְבֶךָ וְרָאִיתָ סוּס וָרֶכֶב", וְכִי סוּס אֶחָד וְרֶכֶב אֶחָד הוּא, וַהֲלֹא כְּבָר נֶאֱמַר (שם) "עַם רַב מִמְּךָ", אֶלָּא כְּשֶׁיִּשְׂרָאֵל עוֹשִׂין וְכוּ'. סוּס וְרֹכְבוֹ. מַגִּיד שֶׁהַסּוּס קָשׁוּר בָּרֶכֶב וְרֶכֶב קָשׁוּר בַּסּוּס וְעוֹלִין לַמָּרוֹם וְיוֹרְדִין לַתְּהוֹם וְאֵין נִפְרָדִין זֶה מִזֶּה. מָשָׁל אָדָם זוֹרֵק שְׁנֵי כֵּלִים לָאֲוִיר, סוֹף אֶחָד מֵהֶן לְהִפָּרֵד מֵחֲבֵרוֹ. אֲבָל כָּאן רָמָה (להלן פסוק ד) וְיָרָה, רָמָה, שֶׁהָיוּ עוֹלִין לַמָּרוֹם, "יָרָה", שֶׁהָיוּ יוֹרְדִין לַתְּהוֹם, וְאֵינָן נִפְרָדִין זֶה מִזֶּה. כָּתוּב אֶחָד אוֹמֵר רָמָה וְכָתוּב אֶחָד אוֹמֵר (להלן פסוק ד) יָרָה, כֵּיצַד יִתְקַיְּמוּ שְׁנֵי כְּתוּבִים הַלָּלוּ, אֶלָּא רָמָה, שֶׁהָיוּ עוֹלִין לְמַעְלָה "יָרָה", שֶׁהָיוּ יוֹרְדִין לְמַטָּה.